Question

the square on the right is a scaled copy of the square on the left. identify the scale factor. express your answer as a fraction in simplest form. answer attempt 1 out of 2

Explanation:

Step1: Recall scale - factor formula

The scale factor from the original figure to the scaled - copy is the ratio of the corresponding side lengths of the scaled - copy to the original figure.
Let the side length of the original square be $a = 18$ and the side length of the scaled - copy be $b = 66$. The scale factor $k=\frac{b}{a}$.

Step2: Calculate the scale factor

$k=\frac{66}{18}$

Step3: Simplify the fraction

Find the greatest common divisor (GCD) of 66 and 18. The GCD of 66 and 18 is 6. Divide both the numerator and the denominator by 6: $\frac{66\div6}{18\div6}=\frac{11}{3}$

Answer:

$\frac{11}{3}$